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Öğe Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in RN(Springer-Verlag Italia Srl, 2021) Ayazoglu, Rabil; Sarac, Yesim; Sener, S. Sule; Alisoy, GulizarIn this paper, by using variational approach, Mountain Pass Theorem and Krasnoselskii's genus theory, we show the existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p-Laplacian in fractional Sobolev space with variable exponent. We also establish a Bartsch-Wang type compact embedding theorem for fractional Sobolev space with variable exponent.
